Temel hipergeometrik fonksiyonlar ve bazı özellikleri
| dc.contributor.advisor | Kuruoğlu, Nuri | |
| dc.contributor.author | Hardal, Semra | |
| dc.date.accessioned | 2020-12-03T17:07:18Z | |
| dc.date.available | 2020-12-03T17:07:18Z | |
| dc.date.submitted | 2016 | |
| dc.date.issued | 2018-08-06 | |
| dc.identifier.uri | https://acikbilim.yok.gov.tr/handle/20.500.12812/60057 | |
| dc.description.abstract | Bu tezin amacı Temel Hipergeometrik Fonksiyonları (veya q-Hipergeometrik Fonksiyonları) incelemektir. Bu amaçla, önce bilinen Hipergeometrik Fonksiyonların tanımı, ilgili denklemleri ve dönüşümlerinden bahsedilmiş daha sonra q-türevinin tanımı verilerek bilinen fonksiyonların q-analizindeki ifadeleri elde edilmiştir. Son olarak, Temel Hipergeometrik Fonksiyon tanımı verilerek, q-parametreli Heine, Gauss ve benzeri dönüşümlerin analizi yapılmıştır.Anahtar Kelimeler: Hipergeometrik Fonksiyon, q-Hipergeometrik Fonksiyon, q-Seri, q-Türev | |
| dc.description.abstract | The objective of this thesis is to study the Basic Hypergeometric Functions (or q-Hypergeometric Functions). For this purpose, firstly well-known definition of Hypergeometric Functions, relevant equations and transformations were mentioned. Secondly, description of well-known functions were obtained by using the definition of q-derivative in q-analysis. Thirdly, the definition of Basic Hypergeometric Functions were given and then some transformations more involving the parameter `q` such as Heine's transformation, Gauss's transformation and etc., were analyzed.Keywords: Hypergeometric Function, q-Hypergeometric Function, q-Series, q-Derivative | en_US |
| dc.language | Turkish | |
| dc.language.iso | tr | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.rights | Attribution 4.0 United States | tr_TR |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Matematik | tr_TR |
| dc.subject | Mathematics | en_US |
| dc.title | Temel hipergeometrik fonksiyonlar ve bazı özellikleri | |
| dc.title.alternative | Basic hypergeometric functions and its applications | |
| dc.type | masterThesis | |
| dc.date.updated | 2018-08-06 | |
| dc.contributor.department | Uygulamalı Matematik Anabilim Dalı | |
| dc.identifier.yokid | 10113637 | |
| dc.publisher.institute | Fen Bilimleri Enstitüsü | |
| dc.publisher.university | BAHÇEŞEHİR ÜNİVERSİTESİ | |
| dc.identifier.thesisid | 436088 | |
| dc.description.pages | 97 | |
| dc.publisher.discipline | Diğer |
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